How do I simplify (t/u^2)/(t^2/u)

Question

How do I simplify (t/u^2)/(t^2/u)

Answer 1

It looks like this is a problem where two fractions are being divided. Approaching it that way, it would look like this:

 

t/u²

t²/u

 

To divide fractions, you want to flip the second one over and multiply. That would give you...

 

t/u² • u/t²

 

Multiply the tops and bottoms together...

 

 tu

u²t²

 

Then reduce to 1/(ut).

Answer 2

(t/u²) + (t²/u)

 

Like any fractions, to add them you must put them over a common denominator, which is u²:

 

(t/u²) + (t²/u)*(u/u)

 

(t + t²u)/u²

 

t(1+tu)/u²